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3 years ago

In the diagram, bisects ABC. Find mABD and mDBC

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

mABD=24

mDBC=24

Step-by-step explanation:

First, set up x+15 and 4x-12 as equivalent equations

Subtract x from both sides to get 3x-12=15

Add 12 to get 3x=27

x=9

Plug 9 into the original equations representing the measurements of angles

You should get 24 for both because bisected means both are congruent

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3 years ago

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math

Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

$10 {}^{x}$

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

${10}^{2} = 100$

$10 {}^{3} = 1000$

${10}^{4} = 10000$

${10}^{5} = 100000$

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

${10}^{ - 2} = 0.01$

${10}^{ - 3} = 0.001$

${10}^{ - 4} = 0.0001$

$10 ^{ - 5} = 0.00001$

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

$4 \times {10}^{4} = 0.0004$

$4 \times {10}^{4} = 40000$

$8.69 \times 10 {}^{ - 3} = 0.00869$

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6 0

3 years ago

What percent of 126 is 22?

LenaWriter [7]

17.46% of 126 is 22

Divide 22 by 126:
$22 \div 126 = 0.1746$

Change the decimal into a percentage by multiplying the decimal by 100:
$0.1746 \times 100 = 17.46$

6 0

3 years ago

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A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.

yKpoI14uk [10]

Answer:

376 square centimeters

Step-by-step explanation:

When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.

The surface area of a rectangular prism is given by : $2(lw+wh+lh)$

Where l is length, w is width, and h is height

Plugging in the new values we get:

$2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376$

The surface area of the enlarged prism = 376 cm^2

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3 years ago

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